C OMMUNITY L EARNING C ENTER L ESSON P LAN
Level (preGED or GED):
Content Area (RLA, Math,
GED
Science, Social Studies):
Math
General Topic:
Algebra
Specific Lesson Title:
Solving complex linear equations (lesson 16)
Estimated Time:
180 minutes
CCRS (List College & Career Readiness Standards)
CCR Standards
CCRS Levels C & D: Expressions and Equations
•
Solve and write one-step algebraic expressions.
•
Solve and write multi-step algebraic expressions, including equations with variables
on both sides and equations that have a term to be distributed.
•
Solve real-life and mathematical problems using numerical and algebraic
expressions and equations
Anchor(s) &
Level(s)
CCRS Level E: Algebra: Creating Equations
•
Create equations that describe numbers or relationships.
Practice(s)
MP 1, MP 3, MP 8
GED Assessment Anchors
A.2.a Solve one-variable linear equations with rational number coefficients, including
equations whose solutions require expanding expressions using the distributive property
and collecting like terms or equations with coefficients represented by letters. Includes
solving routine first-degree equations.
A.2.c Write one-variable and multi-variable linear equations to represent context.
FOUNDATION SKILLS FRAMEWORK: W5.1 (DEMONSTRATES COMPUTATION SKILLS USING WHOLE NUMBERS,
FRACTIONS, DECIMALS, AND PERCENTAGES; W 5.5 (APPLIES MATH CONCEPTS TO UNDERSTAND AND SOLVE
PROBLEMS)
OBJECTIVES (After completing the lesson, what will student be able to show/do?)
SWBAT:
•
Solve complex equations, including equations with variables on both sides and/or non-whole-number coefficients
and terms
•
Solve literal equations for a given variable
MATERIALS (What print and electronic resources will be needed to conduct the lesson?)
Kaplan New GED Test Strategies, Practice, and Review
Steck-Vaughn GED: Test Preparation Student Workbook Mathematical Reasoning
TI-30xs MultiView calculators
Computer and digital projector (optional)
Video lessons and online practice: solving equations with variables on both sides:
https://www.khanacademy.org/math/in-eighth-grade-math/linear-equations-one-variable/solving-equations-variableboth-sides/v/why-we-do-the-same-thing-to-both-sides-multi-step-equations
Video lessons and online practice: complex equations: https://www.khanacademy.org/math/in-eighth-grade-math/linearequations-one-variable/reducing-equations-simpler-form/v/solving-equations-with-the-distributive-property
Multi-step equations (whole numbers) worksheet:
http://www.kutasoftware.com/FreeWorksheets/PreAlgWorksheets/Multi-Step%20Equations.pdf
More multi-step equations with whole numbers worksheet:
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Multi-Step%20Equations.pdf
Teacher/Developer:
[Type text]
Date: [Type text]
Multi-step equations with decimals worksheet generator: http://www.mathaids.com/Algebra/Algebra_1/Equations/Multiple_Step_Decimals.html
Equation word problems worksheet generator: http://www.mathaids.com/Algebra/Algebra_1/Equations/Two_Step_Word_Problems.html
CLASSROOM ACTIVITIES OR PROCEDURES (What specific steps will you follow to execute the lesson? What will you say and do?
What will the learners do?)
Pre-lesson activities (30 minutes)
1) Review homework and answer questions. Discuss problems from exit ticket that students had trouble with.
Lesson (2 hours plus 10 minute break)
2)
Solving complex equations
Introduce students to solving more complex equations, including those including fraction or decimal terms and
variables on both sides.
Provide ample time for demonstrating strategies (i.e. clearing fractions by multiplying, using calculator to assist
with calculation steps, checking work by substituting answer into original problem) and guided practice.
Encourage students to explain their thought process in solving the problems.
Suggested resources:
Kaplan p. 351
Steck-Vaughn p.78-81
Video lessons and online practice: solving equations with variables on both sides:
https://www.khanacademy.org/math/in-eighth-grade-math/linear-equations-one-variable/solving-equationsvariable-both-sides/v/why-we-do-the-same-thing-to-both-sides-multi-step-equations
Video lessons and online practice: complex equations: https://www.khanacademy.org/math/in-eighth-grademath/linear-equations-one-variable/reducing-equations-simpler-form/v/solving-equations-with-the-distributiveproperty
Multi-step equations (whole numbers) worksheet:
http://www.kutasoftware.com/FreeWorksheets/PreAlgWorksheets/Multi-Step%20Equations.pdf
More multi-step equations with whole numbers worksheet:
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Multi-Step%20Equations.pdf
Multi-step equations with decimals worksheet generator: http://www.mathaids.com/Algebra/Algebra_1/Equations/Multiple_Step_Decimals.html
Equation word problems worksheet generator: http://www.mathaids.com/Algebra/Algebra_1/Equations/Two_Step_Word_Problems.html (these are two-step equations but a good
review of equation word problem skills)
3)
Literal equations
Demonstrate how algebraic principles can be used to solve for a specific variable in a multi-variable equation. Be
sure to use the example of solving a linear equation in standard form i.e. 2x + 4y = 6 for y as this particular example
will become important in subsequent lessons. You may also want to work with students to solve the geometry
formulas they have just been working with for a given variable, for example:
Solve V=lwh for h
Solve C = πd for π
Solve A = ½ bh for b
Solve A = ½h(b1 + b2) for h or for one of the b terms
Solve A = π r 2 for r
Solve V = π r 2 h for r
Provide time for guided practice. Students are encouraged to explain reasoning and thought process for solving the
problems. Suggested resources:
Video lesson and online practice on manipulating formulas to isolate a variable:
https://www.khanacademy.org/math/algebra2/modeling-with-algebra/manipulating-formulas/v/example-ofsolving-for-a-variable
Literal equations worksheet:
Teacher/Developer:
[Type text]
Date: [Type text]
http://www.neoadulted.org/cms/lib03/IN01922719/Centricity/Domain/128/Solving_For_a_Variable.pdf
Closure (20 minutes)
-
Ask students to recap vocabulary and concepts learned today.
-
Assign homework
-
Provide and collect an “exit ticket” with three quick problems reviewing today’s work that students must turn in
before leaving.
ASSESSMENT ACTIVITIES (How will you know that the learners have met the objectives for this lesson?)
-
Circulate during guided practice and note areas of understanding and difficulty
-
Collect and check exit ticket, go over any that were particularly difficult for most students during pre-lesson at nest
session.
HOMEWORK
Finish any guided practice not completed during class.
Teacher/Developer:
[Type text]
Date: [Type text]